20-2 gyrochoron
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| 20-2 gyrochoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 20 ridge-septitruncated wedges |
| Faces | 20 isosceles triangles, 20+20+20+20+20+20+20 kites, 10 rhombi, 20 mirror-symmetric octadecagons |
| Edges | 20+40+40+40+40+40+40+40+40 |
| Vertices | 10+20+20+20+20+20+20+20+20 |
| Vertex figure | 20+20+20+20+20+20+20+20 phyllic disphenoids, 10 rhombic disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | 20-2 step prism |
| Abstract & topological properties | |
| Flag count | 4080 |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | S2(I2(20)-2), order 40 |
| Flag orbits | 102 |
| Convex | Yes |
| Nature | Tame |
The 20-2 gyrochoron, also known as möbius 20, is a convex isotopic polychoron and member of the gyrochoron family with 20 ridge-septitruncated wedges as cells.
Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric octadecagons, 1 rhombus, 14 kites, and 2 isosceles triangles for faces, and shares a face with every other cell.
External links[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".